Question: You have an email program that has an inbox that can hold at most three email messages. Email messages arrive to your inbox according to

You have an email program that has an inbox that can hold at most three
email messages. Email messages arrive to your inbox according to a Poisson
process of rate \lambda . For any given message, there is a probability p that the message
is a spam; in this case your spam filter always catches the message and sends it to
your trash folder, so that it never enters your inbox. When your inbox is full, any
messages that arrive are blocked.

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